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In this technical note, we study the controllability of diffusively coupled networks from a graph theoretic perspective. We consider leader-follower networks, where the external control inputs are injected to only some of the agents, namely…

Systems and Control · Computer Science 2016-08-17 A. Yasin Yazicioglu , Waseem Abbas , Magnus Egerstedt

This work addresses the intrinsic relationship between trees and networks (i.e. graphs). A complete (invertible) mapping is presented which allows trees to be mapped into weighted graphs and then backmapped into the original tree without…

Physics and Society · Physics 2008-08-07 Luciano da Fontoura Costa , Francisco Aparecido Rodrigues

We introduce models of gossip based communication networks in which each node is simultaneously a sensor, a relay and a user of information. We model the status of ages of information between nodes as a discrete time Markov chain. In this…

Probability · Mathematics 2013-10-30 Jori Selen , Yoni Nazarathy , Lachlan L. H. Andrew , Hai L. Vu

We consider the problem of estimating the topology of multiple networks from nodal observations, where these networks are assumed to be drawn from the same (unknown) random graph model. We adopt a graphon as our random graph model, which is…

Machine Learning · Statistics 2022-12-21 Madeline Navarro , Santiago Segarra

We introduce a new computational problem, the BackboneDiscovery problem, which encapsulates both functional and structural aspects of network analysis. While the topology of a typical road network has been available for a long time (e.g.,…

Social and Information Networks · Computer Science 2015-08-18 Sanjay Chawla , Kiran Garimella , Aristides Gionis , Dominic Tsang

We address the question of understanding the effect of the underlying network topology on the spread of a virus and the dissemination of information when users are mobile performing independent random walks on a graph. To this end we…

Probability · Mathematics 2008-10-20 M. Draief , A. Ganesh

Computing the probability of an edge's existence in a graph network is known as link prediction. While traditional methods calculate the similarity between two given nodes in a static network, recent research has focused on evaluating…

Social and Information Networks · Computer Science 2023-05-29 Kazi Zainab Khanam , Aditya Singhal , Vijay Mago

When dealing with the dissemination of epidemics, one important question that can be asked is the location where the contamination began. In this paper, we analyze three spreading schemes and propose and validate an effective methodology…

Physics and Society · Physics 2016-07-27 Cesar Henrique Comin , Luciano da Fontoura Costa

The spreading of dangerous malware or faults in inter-dependent networks of electronics devices has raised deep concern, because from the ICT networks infections may propagate to other Critical Infrastructures producing the well-known…

Social and Information Networks · Computer Science 2013-08-22 Enzo Fioriti , Marta Chnnici , Andrea Arbore

Social and biological contagions are influenced by the spatial embeddedness of networks. Historically, many epidemics spread as a wave across part of the Earth's surface; however, in modern contagions long-range edges -- for example, due to…

Adaptation and Self-Organizing Systems · Physics 2015-07-31 Dane Taylor , Florian Klimm , Heather A. Harrington , Miroslav Kramar , Konstantin Mischaikow , Mason A. Porter , Peter J. Mucha

In the last decade it became apparent that a large number of the most interesting structures and phenomena of the world can be described by networks: separable elements, with connections (or interactions) between certain pairs of them.…

Combinatorics · Mathematics 2009-02-03 Laszlo Lovasz

The heterogeneous structure implies that a very few nodes may play the critical role in maintaining structural and functional properties of a large-scale network. Identifying these vital nodes is one of the most important tasks in network…

Physics and Society · Physics 2020-02-14 Yong Yu , Ming Jing , Na Zhao , Tao Zhou

Distributed averaging is among the most relevant cooperative control problems, with applications in sensor and robotic networks, distributed signal processing, data fusion, and load balancing. Consensus and gossip algorithms have been…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Christel Sirocchi , Alessandro Bogliolo

We study spreading processes in temporal graphs, i. e., graphs whose connections change over time. These processes naturally model real-world phenomena such as infectious diseases or information flows. More precisely, we investigate how…

Data Structures and Algorithms · Computer Science 2021-07-21 Hendrik Molter , Malte Renken , Philipp Zschoche

Human to human transmissible infectious diseases spread in a population using human interactions as its transmission vector. The early stages of such an outbreak can be modeled by a graph whose edges encode these interactions between…

Populations and Evolution · Quantitative Biology 2020-06-11 Goncalo Oliveira

Real-world social and economic networks typically display a number of particular topological properties, such as a giant connected component, a broad degree distribution, the small-world property and the presence of communities of densely…

Disordered Systems and Neural Networks · Physics 2013-09-05 Diego Garlaschelli , Sebastian E. Ahnert , Thomas M. A. Fink , Guido Caldarelli

We consider a semantics-aware communication system, where timeliness is the semantic measure, with a source which maintains the most current version of a file, and a network of $n$ user nodes with the goal to acquire the latest version of…

Information Theory · Computer Science 2023-03-21 Priyanka Kaswan , Sennur Ulukus

Community detection in networks is commonly performed using information about interactions between nodes. Recent advances have been made to incorporate multiple types of interactions, thus generalizing standard methods to multilayer…

Social and Information Networks · Computer Science 2020-10-29 Martina Contisciani , Eleanor Power , Caterina De Bacco

Understanding the evolutionary patterns of real-world evolving complex systems such as human interactions, transport networks, biological interactions, and computer networks has important implications in our daily lives. Predicting future…

Machine Learning · Computer Science 2020-08-19 Khushnood Abbas , Alireza Abbasi , Dong Shi , Niu Ling , Mingsheng Shang , Chen Liong , Bolun Chen

We currently witness the emergence of interesting new network topologies optimized towards the traffic matrices they serve, such as demand-aware datacenter interconnects (e.g., ProjecToR) and demand-aware overlay networks (e.g., SplayNets).…

Networking and Internet Architecture · Computer Science 2017-05-23 Chen Avin , Alexandr Hercules , Andreas Loukas , Stefan Schmid